The property 2 of Theorem 1 in [1]} states that if the consensus leader \(n_{l^{r}}\)  is honest, then the generated block \(B^{r}\)  is known to the honest users in a predefined time interval. Here, the consensus leader refers to the block proposer \(n_{l^{r}}\)  in step \((r,1)\)  such that \(\Theta ^{r,1}_{l^{r}} < \Theta ^{r,1}_{x}\)  for \(l^{r}, x \in N\) . It also specifies the amount of time by which the finalized block \(B^{r}\)  will be known to the first honest user for the cases when payment set \(PAY^{r}\)  is empty and non-empty. The proposed modification does not involve any change in the communication procedure. The changes in the decision-making method, as shown in equation REF  is done at each user's end only. Also, there is no change proposed in the rules regarding the finalization of a block. Therefore, the property 2 also upholds under the proposed modifications.
